36054000 has 120 divisors (see below), whose sum is σ = 125987472. Its totient is φ = 9609600.

The previous prime is 36053993. The next prime is 36054049. The reversal of 36054000 is 45063.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16999 + ... + 19001.

Almost surely, 2^36054000 is an apocalyptic number.

36054000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62993736).

36054000 is an abundant number, since it is smaller than the sum of its proper divisors (89933472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36054000 is a wasteful number, since it uses less digits than its factorization.

36054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 36054000 is about 6004.4983137644. The cubic root of 36054000 is about 330.3577387724.

Adding to 36054000 its reverse (45063), we get a palindrome (36099063).

The spelling of 36054000 in words is "thirty-six million, fifty-four thousand", and thus it is an eban number.